Is the government putting you to forced labor? Hardly.
Are you denied ownership of property? No.
You may even have retained the right to vote and hold office.
You either have no concept of slavery or hope we don't.
As to what it would properly be called - punishment. In a manner designed to warn the general public so it may take necessary steps to protect itself from documented predators.
The operator is the obvious defendant in a lawsuit from this accident. However, the vehicle's owner, who was also "supervising the lesson," would be a legitimate co-defendant on the grounds of negligent supervision and negligent entrustment.
And the insurance companies will likely sort it out.
Both sides examine prospective jurors in the process known as voir dire. Any juror can be excused for cause; each side also has a certain number of peremptory challenges.
If you are facing criminal charges, you will need an attorney. If you are indigent, the court will have appointed one for you. If not, you have - or should have - retained your own attorney. Either way, you should be discussing this with them; not here.
You are facing criminal charges. You need a criminal defense attorney. It is that simple.
IF the court deems you indigent, counsel will be appointed for you. If not, you will have to provide your own attorney. The CA and LA bar associations can provide referrals.
A misdemeanor is a crime; an infraction a civil offense. This would be a significant reduction.
However, you will need to review the actual offer with an attorney to confirm the terms of the agreement and the possible long-term consequences, as opposed to going to trial.
It appears that you rammed a car stopped at a stop sign, quite possibly while speeding and on an unregistered bike. That you were negligent and, therefore, responsible to your severely injured passenger and the owner of the vehicle you hit seems a near-certain determination.
As you have severely insufficient insurance, those injured will have to look to their own insurance for compensation. However, those companies will then seek recovery of their loss from you. To the extent their insurance...
"I purchased a motorcycle. My boyfriend registered the bike in his name. "
Which is to say, you bought your boyfriend a motorcycle.
Whatever your logic was, you are not an owner of record. This means you get nothing if he decides to sell the bike and not repay you. However, it also means that you, not being an owner of record or on the insurance, are not likely to be held liable for what he does on the bike you paid for.
However, if you were aware of his irresponsible nature and...
Presumably your roommate reported this attack to BOTH the police and animal control.
Your roommate should pursue recovery; first, through the dog's owner's insurance, then his own insurance and, finally, in court.
You need to document all your damages, including all vet costs and the replacement cost of your pet, and send COPIES of the documentation to the owner by Cert. Mail, Rtn. Rcpt. When he ignores the demand letter, sue him in Small Claims court.