Hi Jordan,
Don't worry about the swelling it will go away, just takes a few months and you will be as good as new! Ice is key, kid! You may not have much feeling in the area but try to ice at least 10 minutes every 2 hours. I say that as I'm doing the same thing. Also, scar tissue isn't your friend. Find a good physical therapist to help with exercises for neck and asap manipulate the scar on neck, it will also help get rid of some swelling. FYI-a jaw bra helps swelling heal faster too. Not extremely fun to wear but better than having 5 chins!
Blessings to you

2010-surgery for stage 2 squamous cell carcinoma of right lateral tongue. Partial glosectomy with right neck dissection. Clear margins
2012-return of cancer to same area of tongue. Surgery with removal of 2 molars which irritated tongue. Clear margins again.
2013-return of cancer to tongue, floor of mouth and jaw where teeth were
extracted. Rad and chemo suggested - I declined.
2/2015-Mandible fibula, free flap surgery. My leg is truly in my mouth 😆