You must obtain an A3 (Med Cert Exempt) restriction in addition to your K restriction if:
All classes of CDL require a DOT medical card - A, B, and C. Additionally, anyone operating a commercial vehicle with a GVWR in excess of 10,000 lbs. is required to have one, even if the vehicle doesn't require a CDL.
You can drive vehicles which require the operator to possess a CDL....
If you have a CDL, you're required to have a current and valid medical card, period.
What type of permit? A CDL permit is, yes. A regular learner's permit is not. As with a full CDL, you're required to maintain a current DOT medical card with a CDL permit.
No.
Yes
10,000 lbs. GVWR and up in a commercial use vehicle, and the answer is yes.
any cdl license
Only if you're operating a commercial vehicle with a GVW of more than 10,000 lbs. across state lines or getting a CDL - both require a valid DOT medical card.
A CDL license is required to drive a skid loader. Many employers will require a CDL to get positions that require the operation of a skid loader.
For Class 7 and Class 8 trucks which are registered farm use vehicles, most states require the operator have a current DOT medical card.
Establish yourself as a Missouri resident, go to the DMV in Missouri, bring proof of address and identity, turn your AZ license in (it will probably be returned to you with a hole punched in and a temporary paper license), show your DOT medical card, pay the fee, get your Misery CDL.