Here are some suggestions:
1) Remember your job quests, these will unlock very useful skills for low level dungeons (for example, leeches is useful in Cutter's Cry...and in a lot of other places).
2) Physick is your Cure. It's the skill you usually use to heal. Spamming adloquium is bad, don't do it, use it only if you know or think that the tank will need a shield for a cleave or if the tank is low on health followed by Physick spam.
3) Learn to DPS while keeping your tank alive (DoTs + Bane on mobs -> heal the tank). A SCH that doesn't DPS is a bad SCH.
4) Your fairy has potential. Using your fairy on Sic usually means you're not fully exploiting that potential. Learn how to manually control her and when it's optimal to use Rouse if you want to be a good SCH. Do use Rouse. If you only want to use SCH so that queueing is faster than ignore this point and Sic fairy is ok.
5) Eye for an Eye is good. Use it on your tank whenever possible. Virus is a little more advanced stuff so don't worry about it for now.
6) Keep your gear updated. It's not necessary for you to buy new stuff asap, just know that entering Aurum Vale at ilvl35 as a SCH can be a very bad idea.