I listened to both songs.
You said you were interested in finding out what directions your vocals should take.
I like the quality of your voice. I particularly liked it in the ballad "Springtime". There is a whimsical lightness coupled with a bit of croakiness that I found appealing. This is an area you could explore, because there is a lot of character in your voice here that I think is worth developing. You sang 'Sick World' okay, but vocally it wasn't as interesting (for me) as Springtime.
Here is the question you ask yourself: "What is it about my singing that will set me apart from the thousands of singers out there, and make people wnat to keep listening?"
I expect you are aware of some of the production aspects that need attention. For example, the overall sound of Springtime (particularly the guitar) is dull, and the reverb is too bathroomy. There is also a lot of popping on the plosives, so you need to develop your mike technique, specially when you go for that close-mike intimate approach. I didn't notice any popping on Sick World.
I thought Sick World had a slightly better sonic treatment, but it too had some areas needing attention. The single biggest area is the instrumentation. It is seriously busy. That particular piano sound is very percussive, and this combines with the inherent percussiveness of the kit and lead guitar to make a very cluttered sound. It wouldn't take much to make this a stronger, more flowing song . . . simplify drastically the keys and kit, and keep the guitar playing minimal . . . use it for the odd spaces in the song, like puncuation marks . . . rather than playing the whole way through.
The single greatest temptation is that once you have an instrument in hand you keep playing. The best thing to do is to not play . . . allow the song to have time to breathe.
I didn't pay too much attention to the lyrics, which means they are probably okay . . . nothing made me sit up and take notice, in either a good or bad way, so they suited the music pretty well . . .but . . . I did squirm a bit at 'Sweetie' in Sprintime.
I acutally prefer Springtime . . I think it is structurally and melodically interesting, and you could do a lot with this song.
Anyway . . . keep on with it . . . there's no small measure of talent there worth developing.