If you go out to loud clubs and are forced to speak loudly, your voice will automatically get deeper and stronger.
Yes, you need to train yourself to project your voice. Speak so loud it hurts people. Your voice must cut through anything in the room. Learn to use your voice as a weapon. Your voice should command immediate attention. This is very doable with practice and training.
You can hear how my voice deepened in recent videos. That's just from going out to Vegas clubs for a few months. I actually had to lower the gain on my microphone because my voice started blowing out the mic.

Just change the topic to something else if it comes up. No need to lie but also no need to show all your cards. Act chill and normal. She does not need to know your social/dating life.
Best date location is a cafe or bar in an outdoor shopping mall area near your house.
Your biggest problem will be not leading enough. You need to lead her throughout the whole date. Take her by the hand and walk her around. Tell her where you're going. Be decisive and clear.

You guys need to find better girls. Most girls are loyal to a fault. If your girl is not falling in love with you you're doing something wrong. When you become a high value guy your problem will be that girls fall in love with you too hard.

Keep trying. You just gotta find the right girl.
Yes, women reward player behavior. They can't help it. It's what they are attracted to.

1) Most guys don't end up with hot girls at all.
2) Even if they get lucky and find a hot girl, they will likely lose her at some point and become very frustrated. You are not taking into account how these guys feel when they lose their one lucky girl.
3) Just being a social extrovert will get you girls.
4) Talk and jokes is game. Looking nice and being chill is game.
5) If you are good-looking you need way less game.
6) If you are extroverted you need way less game.

You gotta learn to talk endlessly. It's called "gaming a wall". Imagine that you are gaming a brick wall. Eventually she should open up. If not, something is fucked up with this girl and you shouldn't want her. Most girls know how to be effortlessly social.
A hot girl who doesn't know how to be social? This smells fishy.
Don't work too hard to get a girl talking. Move on to better girls.

You gotta be more direct with your target girl and lock her in physically so other guys can't get in there.
Be careful about entertaining entire sets of girls without having a target. This can seem like good game but it tends to lead nowhere. Once you get close to your target and lock her in, it's actually good for another guys to occupy the other girls so you can focus on your target.
If a guy comes into your set, immediately take your girl by the hand and lead her away a bit to the side. Let the other girls talk to the new guy while you get one-on-one time with your girl. And use this as a further excuse to bounce her to the other side of the venue to meet your friends. You can say something like, "Let's go meet my friends real quick, then I'll bring you back to your friends."