TE-40 TBK Deluxe Series : Good base but needs some work

So I bought this guitar by the advice of a friend. The guitar itself is a beauty, the sound is not bad for that price range though a bit weak for my taste. The thin E string sits right in the bridge but then touches the edge of the bridge base before reaching the body. I'm not sure if this is a problem but it made me worry a bit. Also, the tuners can't stay in tune (have to set them again even after bending). I'm not sure but they feel like plastic. I'm going to buy new tuners as soon as possible, so I can't actively use this guitar right now. One of the tuners came with a broken screw but this probably happened during shipping. The tuner holds somehow but who knows for how long.

Overall, the guitar is fine. The tuners really need a rework if this isn't only a problem for my specific guitar.