A quick Synergy question

My computers are linked with Synergy, it's working great. But the only way to make my secondary computer follow my main computer's keystrokes is to move the cursor over the 2nd screen, and then type. And while I type with my cursor over the secondary screen, no text appers on my main computer. Is it supposed to work like this ? You can only send keystrokes to the computer that has your cursor ?

Yes, Synergy is not a keystroke replicator. You'll have to use keyclone, multibox or octopus for that.