As far as books, I highly recommend The Complete Book of Woodworking: http://www.amazon.com/The-Complete-Book-Woodworking-Detailed/dp/1890621366/ref=sr_1_1?ie=UTF8&qid=1335885982&sr=8-1. It's easy to follow even for the uninitiated. It goes over the major tools, what they are used for, and has excellent instructions on some starter and intermediate projects. There are even some workbench projects toward the end, one of which is made only from plywood and 2x4 lumber. I made it with a jigsaw and really uneven cuts, and it's held together well for about a year (it's usable for everything except hand planing). I'm also a software engineer by trade and learn well from books, so I spent a good few months obsessing over this book in my apartment before buying a house and really getting started.
For video instruction, The Wood Whisperer is one of my favorites; he gets into what tools are used for, how to set them up and tune them, and has some videos dedicated to safety. He's also very technical and comes from a science background, so the engineer in me relates well with him. He doesn't leave out many details. Fine Woodworking is also very good and for $5 a month you can get access to a ton of video content.
http://www.thewoodwhisperer.com
http://www.finewoodworking.com
SawmillCreek and WoodworkingTalk are nice forums to search through for tips and discussions about what tools are best used for what projects.
http://www.sawmillcreek.org
http://www.woodworkingtalk.com
Most of these will discuss fine woodworking, furniture making, and detailed joinery, which you may or may not be interested in. All of them, however, will give you information you want about tool usage. It may be more detail than what you're interested in for the projects you describe, but if anything you'll be over-prepared.
Try this little trick.
Cut two rectangles from your plywood an inch or two larger than what you want your finished pieces to be. Be sure one face of these rectangles are a straight factory edge.
Now stack the two pieces together and clamp them with the factory edges one on top of the other, nice and flush.
Scribe a perfectly square line using a builders square perpendicular to the factory edge on both sides separated by the dimension you want the piece to be.
Now take a perfectly straight piece of wood and clamp it onto the surface exactly at the dimension of the distance of the edge of your blade to the edge of the saw frame. You now have created a guide to run your saw against while making a cut through both pieces of plywood at the same time.
Repeat this procedure on the other side.
For the last cut parallel to the factory edge, measure precisely the distance and mark on either side, draw a line between the marks. This line should be square to the end cuts and parallel to the factory edge.
Now reattach the cutting guide at the blade to frame dimension as you did for the edges and cut both pieces at once again.
You have now made three cuts, two at a 90 degree to the factory edge and one parallel to the factory edge. Since both pieces were cut at the same time, they should be identical.
Best Answer
It is unlikely the saw will cut through in a single pass. This will require flipping the board over to cut the 10% that wasn't cut the first time. The straightest cut will require the use of a saw guide. A simple quick square would be sufficient. Doing a second cut will reduce accuracy as the guide will have to be repositioned. If you are making a cut on a single board the saw you have may work. If you are cutting a lot of 2x4s the saw will quickly use up the batteries. You will need two sets to be productive. Even with two sets you will likely use up the available batteries faster than they will recharge.