Thank you all for the information so far, I would like to post an update of the status.
After of course having a proper funeral for the fish, I went through the following steps.
Instead of the shrimp, I went with the ammonium chloride for the cycling. This was a preference choice because I would able to measure and record the in and outs. The tank was bumped up to 78 degrees on the heater and running a little warmer now. I also purchase another ammonia testing kit and it did verify my readings from my original testing kit.
So I brought up the ammonia to 1.5 ppm and it has now been roughly three days (when this evening comes). The ammonia has continued to hover at 1.5 ppm, and I have not discovered any nitrites or nitrates in my testing. This makes me believe that a cycle has never happened, which is disappointing thinking that nothing happened over the past four months.
To answer some of the questions I have been neglecting to answer:
Are you running carbon? No
Using drops or strips (ammonia test kit)? Now using both and confirm same results
What are you using to test salinity? Hydrometer
I also wanted to ask what you have in the tank for powerheads and water flow? They are two 1600 gph powerheads
Do you get any sort of ripple across the top of your water? Yes, the are ripples on the top of the tank. (Picture taken of ripples)
Did you purchase the tank new or was it used? New
Also, do you have any clean-up crew? No I was going to get some after my first fish or two were put into the tank and lived a few weeks.
The biggest difference since bringing the ammonia to 1.5 ppm is the outbreak of what I believe is cyano (purplish/red hair type) algae... and I'm talking about on an accelerated rate. Even for leaving for work and coming back after 9 or 10 hours later I can see a big difference.
Right now my general plan is to wait out the ammonia to decrease and check my nitrites and nitrates. When I can get my ammonia and nitrites to zero within 24 hours I have read that is when the cycle is complete. I am already preparing about 80 gals of RO/DI aged saltwater for large changes for the end of the cycle and remove the nitrates.
I have included some new pictures... you can probably compare them to the original ones and see a huge algae difference. Thanks again for any suggestions and information.