Generate a US License Plate Given one of the following as input:

AK,AR,AS,AZ,CA,CT,DC,FL,GA,IL,IN,IA,KS,KY,LA,MD,MI,MN,MS,NV,NH,NJ,NM,NY,NC,ND,MP,OH,OK,OR,PA,PR,RI,SC,TN,TX,UT,VT,VA,WA,WI


(with quotes)

"AK","AR","AS","AZ","CA","CT","DC","FL","GA","IL","IN","IA","KS","KY","LA","MD","MI","MN","MS","NV","NH","NJ","NM","NY","NC","ND","MP","OH","OK","OR","PA","PR","RI","SC","TN","TX","UT","VT","VA","WA","WI"


Generate and output a (uniformly) random license plate of the format matching the input. If there are multiple (comma separated) formats, use a (uniformly) random format:

AK, IA, MS, MP, VT: AAA 000
AS: 0000
AZ, GA, WA: AAA0000
AR, KS, KY, LA, ND, OR: 000 AAA
CA: 0AAA000
CT: AA-00000
DC: AA-0000
FL: AAA A00
IL: AA 00000
IN: 000A,000AA,000AAA,AAA000
MD: 0AA0000
MI: AAA 0000,0AA A00,AAA 000
MN: 000-AAA
NV: 00A-000
NH: 000 0000
NJ: A00-AAA
NM: 000-AAA,AAA-000
NY, NC, PA, TX, VA, WI: AAA-0000
OH: AAA 0000
OK: 000AAA
PR: AAA-000
RI: 000-000
SC: AAA 000,000 0AA
TN: A00-00A
UT: A00 0AA


Where A means a random character in the uppercase alphabet minus IOQ and 0 means a random single digit number (0 to 9).

All information from Wikipedia. These (states) were all of the ones that I understood and that didn't have wonky rules.

This is code-golf, so shortest answer in bytes wins!
Python3, 861 821 819 714 678 674 670 662 661 658 596 591 561 555 551 536 bytes.
-8 bytes thanks to @DestructibleLemon (b=a+... and d=B...), -15 bytes thanks to @Felipe Nardi Batista (useless lambda and variable)
And thanks to everyone over in chat who helped golf this!
from random import*
C=choice
Z='000'
A='AAA'
B=A+'-0'+Z
a=A+' '+Z
b=A+'0'+Z
c=a[::-1]
d=B[1:]
print(C(''.join(C(['ABCDEFGHJKLMNPRSTUVWXYZ','0123456789',i]['A0'.find(i)])for i in([a]*5+[Z+'0',b,b,b]+[c]*6+['0'+A+Z,d,d+'0',A+' A00','AA 00'+Z,Z+'A,000AA,000AAA,'+A+Z,'0AA0'+Z,a+'0,0AA A00,'+a,Z+'-'+A,'00A-'+A,Z+' 0'+Z,'A00-'+A,Z+'-AAA,AAA-'+Z]+[B]*6+[a+'0',Z+A,B[:-1],Z+'-'+Z,a+','+c,'A00-00A','A00 0AA'])[[*zip('AIMMVAAGWAKKLNOCDCFIIMMMNNNNNNPTVWOOPRSTU','KASPTSZAARSYADRACTLLNDINVHJMYCAXAIHKRICNT')].index(tuple(input()))]).split(',')))

Try it online
Any golfing suggestions are welcome (and wanted). And, please, if you spot any errors, just tell me via the comments!