Yes, it most certainly does. In fact it is illegal to remove the converter.
yes
Yes.
Contact the local MVD for that info.
36.00 for safety and omissions
yes
Most likely, not.
http://sos.mo.gov/adrules/csr/current/11csr/11c50-2.pdf The Missouri State Highway Patrol's website has the requirements according to the laws of the state of Missouri. The above linked pdf file has EVERYTHING you need to know about the inspection requirements.
Nope, it's a safety hazard.
Yes, unless it is rusted so badly as to be deemed unsafe to drive.
All tires on vehicles driven in Missouri must be safe. There is no listed minimum tiretread depth or mention of tire grooving in the laws.
in Missouri you will need a marketable title, proof of insurance, a safety inspection, an emmision inspection (if the car is a 96 or newer and if you live in a county that requires it) the license office will fill out the title application for you. there is a $25 per month late fee (up to a maximum of $200) if the date on the title is over 30 days old. the sales tax is approximately 8% depending on the city you live in. in Missouri you will need a marketable title, proof of insurance, a safety inspection, an emmision inspection (if the car is a 96 or newer and if you live in a county that requires it) the license office will fill out the title application for you. there is a $25 per month late fee (up to a maximum of $200) if the date on the title is over 30 days old. the sales tax is approximately 8% depending on the city you live in.
I would imagine it's roughly 36", but it would be easy to check with a phone call to your local building inspection and permit issuer.