Red lines in whites of eyes

You have a very common finding after LASIK. The suction during the procedure caused small blood vessels to break. Unless very large usually does not cause any problems. It can take a few weeks to resolve. Frequent artificial tears are helpful for comfort and to maximize your LASIK result.

You have a benign sub-conjunctival hemorrhage. This is very common and comes from the suction ring used to make the flap. I liken it to an "eye hickey". It can get bigger before it gets better but goes away in a week or two, sometimes a bit longer, just like a black and blue mark in the skin. As there is no skin pigment in the conjunctiva, the bright redness looks more frightening than it is. Hopefully this reassures you.

You likely have a small subconjunctival hemorrhage.  When the vaccuum is applied before the microkeratome cuts the flap, it can break a blood vessel and essentially cause a "bruise" on the white part of the eye.  Depending on the size, it goes away in days to weeks.  Afterwards, you should be no worse for the wear and your outcome should NOT be affected by this.