Start by getting the owner's manual for your rifle. You can get one on-line from Ruger Customer Service. You will need a basically cleaning kit- a .22 caliber cleaning rod, brush, patch holder, cleaning patches, powder solvent, lubricant. Then read the owner's manual, and follow the instructions.
Yes, Ruger made them
50-200
Ruger.
Ruger's web site has extensive sn data.
75-300
Depends on what caused the jam.
Check the receiver and barrel
50-225 usd
Not recommended.
50-200
it is worth ..............$$$$
Depends on the store.