Sadly, your body is going to lose fat where it wants to lose fat. But stay on course with weight lifting and you'll gain muscle to help cover up the more "bonier" parts of your body as well as burning more at rest. As far as your diet goes, you need to eat. ESPECIALLY with lifting. You're ripping new muscle and growing new, which will eat that body fat all by itself. Don't start the day off, knowing your going to be doing something physical, planning on eating at a deficit. You can also flux your calories. For example on days you'll be lifting you can eat 1800 calories and days you aren't lifting you can eat 1500-1600. There are actual formulas you can follow.

My sister is built pretty much the same as you. She's 5'9''ish and about 130 lbs. She's ALL butt and thigh. And that little area you have circled in red by your armpit/boob, even the skinniest people have it. :)