Of course you can reach 53. Do some dailies or flashpoints or something. Come back when you are level 55, if it's giving you that much trouble.
It's very strange to do daylies before level cap.I didn't think about this. Usually, daylies are for earning money and budges on level cap. Maybe you are right. But it's very strange to level up using daylies.
I tried to do this quest again. I killed about 6-7 spawning baby droids and got killed by archon. I can't imagine how i can kill him if i'm fighting with litle droids all the time. Little droids spawns very often.