The price of bitcoin and litecoin isn't "pink" right now. Bitcoin (and litecoin) is a long term investment, so don't worry, im pretty sure that the price will rise up to 20 in some time.
Kind of the same thought. LTC will hit $3 on it's way to $5, etc until its value in terms of USD's is irrelevant.
But the OP wants to know if the LTC price will hit $3 this summer, and the by the summer he probably means in a month or two. I think it all depends on what Bitcoin does over the next few months, if it rises then Litecoin might hit $3 and if it falls then so will Litecoin.