Insufficient information given on which to base an answer.
Judgment Deferred was created in 1952.
no
No you cannot possess a firearm at all
delayed judgement
Being pardoned does not allow a felon to possess a firearm. Only an overturning of the conviction can do that.
A DUI deferred judgment in Iowa will show up on your driving record, but it may not be considered a conviction if you successfully complete the terms of the deferred judgment. However, it can still have consequences such as affecting your insurance rates and appearing on background checks.
motion to accelerate
No.
Generally speaking, yes. If a case was dismissed, you should not have a conviction reflected on your record.
no
In most U.S. states, you can possess a firearm, such as while hunting or target shooting as long as you possess the firearm with permission of the owner, but you can't buy one or own one.