How long were those serious relationships of yours? Two sounds fine really, not many people have much experience of dating at all at that age.

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Intelligence is the ability to avoid doing work, yet getting the work done.

What do you mean by dating. You have had 2 relationships and have not dated? Or do you mean should you have already had those relationships?

To be in a relationship you have to be able to be old enough to understand emotions and love, and to be ready for physical and emotional intimacy. Do you feel that you are?

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Everyone who thirsts, come to the waters; and you who have no money
come, buy and eat. Come, buy wine and milk without money and
without cost.-Isaiah 55:1
www.wateringmalawi.com

Do I think you are old enough to go out with a bunch of guys and spend the night with them? no.

Do I think you are old enough to go to a movie with someone that you like? Sure!

As long as you are fully aware that sometimes people have ulterior motives you will be fine.  Don't be every so trusting to the point where you are oblivious to what is going on around you.  Always remember that you don't 'owe' anyone anything for taking you out somewhere.  

But to answer your question, I think it is perfectly fine for you to go out and have some fun if you are sure that you are responsible enough to understand the difference between good and bad signals.

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:)