I have similar equipement (D5000) with same lenses. Mine is a recent purchase; a partially damaged kit off Ebay (350$). After a simple repair, it works fine. This was an upgrade from a Fujifilm Finepix S700 and Canon A560 I have had for several years.
One of the good points of the D5100 is the VR. This is quite helpfull to get clear pictures when the lighting is not too great. You can get by without a tripod in certain cases. But as a beginner, do not put all your faith in it or rely on it. Learn to shoot with the proper stance and proper grip to get the most stable shots. Once this is mastered, use the VR in specific, low light, shots.
(Digression: How anyone can claim to take good pictures holding an IPad at arms lenght is beyond me. When I walk around with my Nikon F2, people assume they have a PRO before them and ask me to take a picture for them and hand me an Iphone or Ipad. I allways ask them to check if it is clear. I can't see a thing)
One thing I added to this camera was an OEM battery grip. The size of these cameras, for me, does not suit my ergonomics (imagine the Fuji S700). The battery grip helps me get a "grip" on the camera. The added bonus of the grip is bettre flash responce time and duration. You double the battery power availlable to the camera and the flash with the grip. The camera itself does not need it, but the flash does. On camera flash may not be the greatest idea, but for fill flash, in daylight, it is quite usefull. This combination of on-camera flash and the Nikon metering system work very well together for beginners to learn by.
At 62, I still have my Nikon F2, Nikkormat and now a Nikon F4S that was mint but dead and was brought back to life by me. Serial number 2519895, a womping 90$ purchase in the last few months. I enjoyed taking this apart so much I purchased a second F4 and repaired it and now gathering odds and ends to turn it into a F4E with data back. Why? This was one "significant" Nikon camera as was the F/F2.
I find, if you want to learn photography, best place to really start is with a manual camera. The automation is great but you have a big learning curve ahead. Manual cameras give you a fighting chance to grasp the basics and then move into DSLR bells and whistles.