Learning the basics of puts using my Fidelity brokerage

I have discovered, by pure serendipity, a NASDAQ listed US Based company that has been failing slowly for 10 years. Last month they were trading at ~$2 and today at $0.8 and it's been failing like that, slowly for 10 years

I believe this is an opportunity to “short” the company but given that I've never done this before, I wanted to start with the basics:

1. I buy put options using my Fidelity brokerage

a. as part of this purchase I need to pay a put option premium that depends on the option term?

b. or would that premium be already priced into the put option?

1. If I wanted to try this for 2 weeks, (i.e, buy the puts on Monday and sell 1st May, or the week after), what should I be doing?
2. What are some fixed fees involved?

Now when I follow this, it seems like a 2 week term is too short and it seems like at the minimum, it's a month with the expiration date as the third Friday of the month?

https://www.fidelity.com/learning-center/investment-products/options/options-strategy-guide/longput-speculative