Hi Anon,
I want to start by saying you're definitely not alone, and that it's normal and okay to feel homesick. If you feel you keep getting shut down by the girl you're trying to befriend, you can either ask her about it directly or maybe just move on and try and find friends elsewhere. Societies are a great way to meet new people and have fun, and that may help distract you from your homesickness.
I also understand how those conversations with your dad can make you feel unable to drop out, and while I'd urge you to stick with it a while longer and try some new strategies to make friends and so on, I wouldn't let what he's saying stop you from dropping out if you decide that's the best course of action. I'm sure he'd understand, as while he may be envious his first priority is your wellbeing. Do try and get yourself stuck in to a society or two, it's first week so loads of people are in the same boat as you, and you might find some people to share your struggle with.
Best of luck,
Courtney H