Sounds fair.
Friends of ours had the hall, one bedroom and living room painted. The living room had to stripped of wallpaper before painting and the all-in price was €1,500. So your quote looks good. Personally I always take two things into account; price and quality of work.
Do you know this crowd's standard of work? The same friends had their bathroom refitted and that was a nightmare for them, tiles badly put up, plumbing into new bath leaking! And in this case they went for the cheapest quote and had no personal recommendation for the company. The plumber fitted the bath pipe on the wrong thread, easy to fix, even easier to get right first time but why bother when the plumber was picking up €1,000 for a days work. And that was the cheapest quote.
So if your guy is good; go for it.