Not necessarily. Generally speaking, all drivers owe a duty to act with reasonable care when driving. While the following driver was probably following too close, that does not mean that he/she is 100% at fault automatically, and I have seen cases where the driver in front has been found at fault (sometimes even more at fault). Talk to your insurance company, though, to make sure they are on board and can provide you with legal counsel if necessary.
My recommendation would be to only fight the ticket if you actually have witnesses who will support your version of the accident. Do you have the names of the other drivers and their contact information? If so, it may be worth a shot at fighting the ticket if you can get written statements from them. Good luck.
I agree that you appear to have a legitimate claim and should strongly consider bringing it in small claims court if you cannot resolve it. This is a quick and efficient way to resolve the issue, is relatively inexpensive, and you can find forms online to fill out.
I'm sorry to hear about your loss, as that is obviously an emotional and painful experience. From a legal perspective, the biggest challenge for you would be to link the loss to the prenatal pills, as there are numerous other causes that could be involved. Additionally, the drug manufacturer will have a team of experienced attorneys. They do not just easily settle these types of claims, in general, and are likely to put up a major fight.
I'd recommend consulting with an attorney in your state. While you may be an "at will" employee, your employer may have had some written policies and procedures regarding discipline and termination of employees. It would be well worth spending 30-60 minutes with an attorney to discuss your rights.
At this point I would recommend getting a lawyer. Keep open communication with your boss and, if helpful, see if your boss can ensure things are documented in employment files to protect you. If it escalates, you could seek legal advice later.
Make sure you talk to a local attorney. I don't practice in your jurisdiction, but generally speaking a parked car is not going to be at fault for this, even if parked a little bit. I'd suggest talking to your dad if you can bring yourself to do so. Contacting the insurance company may be the best thing to do, but it would likely be your dad's insurance.
You need to speak with an attorney in your state. In my opinion, the indpendent witness is the key to your case as to the liability issue. So often accidents are a "he said, she said" proposition. If there is an independent witness supportive of your position and who witnessed the other driver driving too fast or otherwise not paying attention, this could be the most helpful part of your case. Good luck!