You definitely need a primer. If you want to sand or smooth your model, you can use an automotive primer like this one: https://a.co/d/0gTzcbbl Otherwise, just pick a neutral color spray paint (or any light color you'd like) and spray your model. You "may" get by with using the model you've already painted - just spray several layers over the top. Read the instructions for timing of multiple coats. I like to do a light spray, wait for 5 minutes, spray again, wait 5 and do a final spray. Don't forget to do the bottom of your model after you've let your paint dry for 24 hours. As someone else said, you got this. After all of the primer has dried, you can paint again. There are many videos and tutorials about painting miniatures that should provide some good tips for what you are doing. Thining your paint so that it fills the crevices easily is one of the best.
https://www.amazon.com/dp/B006ZLQ4HQ?ref_=ppx_hzsearch_conn_dt_b_fed_asin_title_6&th=1 This is what I use for my 3d printing projects. Price has gone up a few dollars over the last year, but one can usually goes pretty far for me.
I would put a nice layer of wood filler over the fins (except for the tab) and body tube, then sand it down using 220. Once that's smooth, attach the fins to the tube. Use more wood filler as needed, and when ready, paint with a high build primer(note, it's not a miracle worker, you need a pretty smooth surface to start with). Sand the primer down with 400 grit, add more wood filler as needed. Once it's smooth, put on a coat of white, lightly wet sand, then apply to final color coat. Make sure you have 1-2 days between layers of paint, otherwise it's hard to sand and doesn't adhere properly.

