Oh brother. This is high school physics and you messed it up so bad.
Gravity doesn’t dilate time, it can bend space-time in a way that will case a beam of light to change direction slightly (hence the existence of gravitational lenses in space) but it doesn’t dilate time.
To dilate time you need to travel at a VERY high speed. As I recall, the effects are unnoticeable to humans until you get to something like 90% of the speed of light, which we have never gotten anywhere close to. Also, by travelling at such a high speed, you dilate time in such a way as to make it pass SLOWER for the speeding observer, not faster. For the non-speeding observer there would be a very noticable red or blue shift in the light coming from the speeding object depending on whether it is speeding away or towards you, but the observed speed of the light would be the same, it is a universal constant.
In short there is no way to appeal to any of this stuff as a way to explain light from galaxy millions of light years away getting here in so short a time as 6000 years.
The speed of light used to measure the distance of a star is the upper limit of what speed is possible by the laws of physics, so if there is any dialation, then it would just make it take LONGER for the light to reach us.
Par for the course.
==Gravity doesn’t dilate time, it can bend space-time in a way that will case a beam of light to change direction slightly (hence the existence of gravitational lenses in space) but it doesn’t dilate time.
WRONG.
http://hyperspace.wikia.com/wiki/Gravitational_time_dilation