There are several aspects that depict the quality of sharp images, kind of glass is one aspect....but you can still do well with lower end lenses.
A few of your images are quite sharp.
Remember the shutter speed focal length ratio. My rule of thumb is if I'm using a 1.6 crop, my shutter speed is at least 1.6 times my focal length. I.E 50MM means I need at least 80 shutter speed. but I usually push for higher, especially with a lens that does not have IS this minimizes camera shake. Also you can consider a tripod or in some cases a monopod.
Another aspect is understanding AV, and dof, which indicates how much of the image you want to portray as sharp. Subject photography ranges from F 2.8-5.6 depending on distance. Landscape and scenery is different F 8-11