The lever can be brought in closer to the bar if need be. Your wrists should be relatively flat when resting on the handlebar. Adjust the controls so that there is as little bend as possible to the wrists, after having set the proper seat and handlebar height. The tires that come on your bike may not fit your riding style and terrain. In any case, they'll be among the first parts on your bike to wear out, so you'll have to replace them sooner or later.
Tires come in many different sizes, widths and tread patterns.
One will surely meet your needs. On the other hand, if you find that you do almost all of your riding on pavement, you might opt for a faster, smoother tread pattern. Talk to other riders in your area and find out what tires have worked for them.