I'm sure if you put in the effort you can finish the courses. Make sure to utilize your vacation periods to the max. When Pokemon Black/White were announced in June, I decided to learn enough Japanese to play them in September. I found that by doing 2-3 hours a day I got through the first course in its entirety in about 2 months.
As for Kanji, there seem to be few methods to learning them.
1. Learn the Kanji, stroke order and readings. The problem with this is that each kanji can be use in compounds, but you'll still be at a loss regarding the compound's reading.
2. Using mnemonics to remember their writing, doing that for all the kanji, and then learning their readings. James Heisig has written a series of Books called "Remebering the Kanji" which deals with this method, however it deals with all 2042 jouyo kanji and so is a great (and expensive) undertaking.
The first book is here: http://www.amazon.com/Remembering-Kanji-Vol-Complete-Characters/dp/0824831659/ref=sr_1_1?ie=UTF8&qid=1294058757&sr=8-1
They also have a free 200 page preview. Google "remembering the kanji free sample"
3. This is what I feel is a natural method.
a)First, learn kanji as in #1, but focus more on their English meaning, though still have an idea of their readings.
b)Secondly, learn a lot of vocab. Ie. for every english meaning of a kanji you know, you should know the Japanese translation.
c)Thirdly, get some children's comics with furigana+kanji.
d)Fourthly: read them. The idea behind learning lots of Japanese is so that if you do not recognize the Kanji, you can always get its reading in hiragana. THe furigana are placed specifically over the kanji the represent, so with this method, you would get an idea of readings of compounds, which you should know if you learn lots of Japanese, as well as the ON-yomi of the kanji (identifiable in compounds) and the KUN-yomi (identifiable when the kanji is isolated (between particles, etc.), or with a trailing.
Basically, the ON-yomi is used with compounds and the KUN-yomi is used otherwise, usually with a trailing.
However, since there are usually multiple readings, you'll only really learn them by exposing yourself to Japanese literature, which is why I suggest some shonen manga.
The furigana allows you to see what the compund means, as well as what readings each kanji takes.
I would probably recommend looking into the books as you finish Premium Plus.
Regarding the anime, I would suggest watching an episode of something set in reality. Yu-Gi-Oh! maybe? Or at least in everyday life. (Thats why I like Hayate no Gotoku, so much everyday vocabulary) IGNORE ALL THE SUBTITLES, and make sure it isn't an episode you have watched recently. Listen to the Japanese audio, and DO NOT try translating it into English on the spot. At the end of the episode, think to yourself
a) How much of that did I understand?
b) How much of the vocabulary didn't I know?
c) How many sentence structures dindn't I understand?
You will probably have gotten the gist of what happened in the episode, but will probably not have understood all that much, however, if you recognized the sentence structures, you'll know that you just need to learn more vocab.
On the other hand, if you recognize random vocab words, but not the structure of the sentences they are used in, you need to do more work with you Japanese Grammar.
After, just watch it with the subtitles, to see how much you "got right".