That's a lot of miles/kilometers in a short time. If you like staying on main roads you can do it; if you like back roads, especially in Morocco, you're in trouble (and won't be taking your time through the Alps or enjoying many rest days along the way). If you're hoping to take in the sights, meet the locals, hang out in the evenings....no way.
Your budget is fine if you camp through the more expensive countries in Europe, or if you plan around a lot of hostel stays. In Morocco camping won't save much, but wherever you go it's nice to have the option (IMHO).
You don't say what time of year, but if during fall or winter it would be wise to include some bad weather days and to be flexible around major mountain ranges--Alps, Pyrennés, High Atlas, etc. Remember that days will be short as well, meaning you'll spend most of every day riding. During summer, days are longer but much of Morocco gets ridiculously hot.
I no longer remember what it's like to be 18, but it's not difficult to meet other riders to travel with during the normal riding seasons. In my experience most of them vanish throughout Europe when the weather gets chilly and the days short. There are good reasons for this.
Hope that's helpful.
Mark
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