Well, to start at the end: how much you will get out of a dslr and a good lens like that tamron will be directly proportional to investing in learning the ins and outs of the camera and the photographic principles underlying getting best results.
The useful rule of thumb for getting acceptable sharpness hand holding is to have a shutter speed of at least 1/focal length eg 1/50th for your 50 f1.7's, or 1/35 secs for the second pic posted. BUT: that needs to be adjusted for the smaller sensor (which basically = cropping, if you crop a pic in
any way then blur or softness becomes more visible) ie x 1.5 = 1/75th. And then that assumes good technique and a relatively stationary subject. Cut a long story short - I'd be looking for ideally 1/500th or faster on an action shot like that. Also I'd be looking for more depth of field than at f3.2 to allow for the movement and size/shape of the subject - how good different cameras+lenses combinations are at holding focus on moving subjects is way off base for me, can't comment , but as a general principle this is sound. So: f8 say, and 1/500th. But now you run in to the relatively dull lighting of your scene. Your best option IMO with this subject and this lighting is to up the ASA to eg even 1600. Personally I do 90% of my pics in Av aperture priority mode. There is one button access to swiftly change ASA and exposure compensation, speed dial changes the aperture and the camera adjusts the shutter speed in sync.
There is another suggestion I can make with this; common technique would be to use burst mode and fire off 3 pics with each shutter press. Particularly effective if like me
you are a bit twitchy with your shutter presses. Common experience is that the 2nd pic comes out best.
Which leads me to your ?? about exposure. In a (partially) backlit situation like your pic 2 you want to expose on your subject. So this would suggest centre weighted or spot metering rather than matrix.
It is one of the great boons of dslr's that you have all these options towards getting good results. The other great boon is the facility to immediately review your pic and adjust and retake as necessary.
Lots to learn. here's a great web site:
Cambridge in Colour - Photography Tutorials & Learning Community
I recommend reading all the "photo essentials".