The best way to start learning R is to work on one of your problems. There are plenty of material to do this, the 1st manual on R is the classic "An introduction to R" by Venables, Smith and the R Core Team, which can be downloaded from CRAN. After learning the basics you can start working on your problem. If you really want to learn statistics using R I recommend "An introduction to statistical learning" by James, Witten, Hastie and Tibshirani. Springer. For graphics the classic is Maindonald and Braun "Data analysis and graphics using R". Cambridge University Press. All these books can be found for free in the internet.