Is this a battery or a starter issue?

When my fob didn’t open doors, I knew it was off. After I used my keys to open the door, I realized dome light was left on “on” position for last 3 days maybe I hit it. There were no dash lights, etc. So, I thought I just needed to use my 12v jump box to recharge battery. After letting it sit connected for 15-20 minutes, I turned key one stop and got dashboard light, etc. When I turn the key to ignite, I get quick burring/clicking sounds and dash lights sputtering too. I tried it a couple more times and would also just get a loud, clear clicking sound when I turn the key to ignite. If I didn't know dome light was left on for 3 days. I would have thought this a clear starter problem (refurbed starter 1 year ago and new battery).
1. If I hook up my 12v jump box longer will that be enough? If so, how long should I l have it connected?
2. Do I need a car-to-car Jump? (For a bigger jolt?)
3. Do I need to hook it up to an actual battery charger? For how long?
4. Do I need a new starter?