I'd suggest looking for other potential leads for work. Two of which have worked very well for me in the past.
1/ Networking events.
Get yourself on meetup.com or similar and join local entrepreneurs/business start ups groups. You may find people starting or running small businesses who need design work doing.
2/ Facebook
Seriously. I don't just mean setting up a page for yourself. Join local groups, like design-related pages (or even non-design related) and keep your beady eyes peeled for people who are either asking for, or you suspect might need design support.
The advantage of these when you're starting out is that you're not necessarily competing against other designers (or not as many as on freelancing sites). You may be the only designer in the village, so to speak, and at the start you'll never get over the gap in experience, so make yourself the only choice in that area.
Once you start getting small jobs, you can put that work on your website or freelancing sites if you wish, and use it to get yourself more, and better work.
Good luck. It's a tough path but rewarding.