Footnote does not show the compiled service records for Iowa, but the soldier's CSR might be of some help.
Here are some sources for the activities of the 28th Iowa during this time frame:
http://files.usgwarchives.net/ia/jasper/military/28th-inf.txt
Jasper County, Iowa Civil War Enlistment - 28th Iowa Infantry
Transcribed by Joan Achille <joanach@wayfarer1.com>.
Submitted to the USGenWeb Project Archives on June 2nd, 1998.
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"1878 History of Jasper County, Iowa", pg. 422 & 425.
Twenty-Eighth Iowa Infantry
on the 10th of November 1862, the regiment, numbering
956 rank and file,was mustered into the United States service. 2nd
November it was ordered to move to the seat of war, and arrived at
Helena, AR, on the 20th , where it encamped in tents for the first
time. Here in addition to other disease engendered, owing to the
swampy encampment, the small-pox broke out.
January 11, 1863, it formed a part of Gen. Gorman's expeditiion,
which ascended the White River to Duvall's Bluff. During this
expedition, the men suffered severely from storms and cold.
Returning to Helena, rude Winter quarters were built and the
sufferings of that Winter will never be fully told. In February, the
regiment assisted in removing obstructions from Yazoo Pass. Col.
Miller resigned in March, succeeded by Lt. Col. McConnell.
Co K
Friend, Sakmuel, enl. 10 Aug 1862, wnd. at Winchester, disch. 5 Jan 1865, wounds
SERVICE.--Hovey's Expedition from Helena, Ark., to Grenada, Miss., November 27-December 5, 1862. Gotman's Expedition up White River January 13-19, 1863. Expedition from Helena to Yazoo Pass by Moon Lake, Yazoo Pass and Coldwater and Tallahatchie Rivers February 14-April 5. Operations against Fort Pemberton and Greenwood March 13-April 5. Expedition to St. Francis River April 5-11. Moved to Milliken's Bend, La., April 11-13. Movement on Bruinsburg and turning Grand Gulf April 25-30.
http://www.hcaauctions.com/LotDetail.aspx?lotid=28700
War date Union soldier letter by John Myers, 28th Iowa, WIA at Port Gibson, Died of Disease in August, 1863 at Helena, Arkansas, 4pp. quarto, December 8, 1862, Helena, Arkansas, concerning an expedition under the command of Union General Hovey from Helen, Ark. to Grenada, Miss., reads in part: "...We started on this expedition the 28 day of November and got home the 7 day of December. We had a force of 16000 of the best men we could select out of 50000. The first order was to take 25000 and then that was countermanded and only 16000 taken we went down the river to a place that the Secesh was holding and they all run and we burned the place then we started for the Tallahatchie River about forty miles from the Mississippi and when we came there, there was a small Rebel force there destroying the brick we opened fire on them and they all run we killed 3 of them and got 11 prisoners...we heard firing...and run to reinforce them but they again run and we followed them with 4000 cavalry 8 pieces of artillery 900 infantry to a town 20 miles the name of the town Oakland and we stopped to take dinner and the artillery and cavalry was a short distance ahead and there was a band of Texan Rangers lying in ambush and when they got their horses unhitched to fight them they run out to our men by surprise and captured 2 pieces of our artillery, killed 6 horses and wounded ten men but none very dangerously, and as soon as we could open fire on them they run and we recaptured one piece of the artillery but they got the other piece. We then marched on in the town and took everything we could make use of and destroyed the balance and burnt two railroad bridges and one more house that was full of supplies for Price's army and a hundred cars loaded with supplies for Price's army. We could hear Price and Grant fighting all the time that we was gone...our force was too small so we retreated..."
http://www.nytimes.com/1862/12/18/news/war-mississippi-details-expedition-under-gen-hovey-our-special-correspondent.html?pagewanted=3
There is only one thing to mar the effect of their efforts; and that is, that on their return, everything on the route was destroyed. Charleston, Oakland and Panola were sacked, and everything taken or destroyed that fell in their hands. Stores were broken open, houses plundered, citizens insulted -- in short, the country was reduced to a wilderness.
Friday night the whole expedition left Coldwater, and reached here this morning without further adventure than an attack upon the rear-guard by a small party of guerrillas. Last night the Twenty-eighth Iowa encamped some five miles back of the main column. They had just lighted their camp fires, when about thirty mounted Confederates dashed boldly through the camp, blazing away right and left as they passed, but hitting no one save one individual, who was straggling away from the regiment, and who was shot dead while running in. Two teams and wagons were run off, and along with the rebels, disappeared in the recesses of the swamp.
Here are examples of Union soldiers captured at Chickasaw Bayou:
http://www.angelfire.com/mo2/29mo1/29rstr01.html
29th MissouriVolunteer Infantry Regiment, USA By Jared E. Billings
Sgt. ABSHIER was 27 when he enlisted at Fredericktown on
August 12, 1862. He mustered in at Benton Barracks on
September 6 in Company C. He was quickly promoted to
Corporal and then to 4th Sergeant of his company. He was
reported as missing in action at Chickasaw Bayou, MS on
December 29, 1862. He had been captured and was held a
prisoner of war until March 13, 1863 when he sent across
Union lines in New Orleans and was paroled. He rejoined
his company on October 12, 1863 after being exchanged. He
mustered out with the regiment on June 12, 1865.
http://history-sites.com/mb/cw/mscwmb/archive_index.cgi?noframes;read=1109
The "Railroad Bridge Prison" in Jackson was used to hold Union soldiers, mostly taken at Chickasaw Bayou in December 1862. I had an ancestor held there after being wounded at Chickasaw Bayou.
(Google eBook)
Prisoners of war and military prisons:
personal narratives of experience in the prisons at Richmond, Danville, Macon, Andersonville, Savannah, Millen, Charleston, and Columbia ... with a list of officers who were prisoners of war from January 1, 1864
P 406 regarding the Railroad Bridge Prison