Are the replacement fuel lines in the tank SAE30R10? Did you check them for clogging? Have you determined the output of the pump at the fuel rail? Has the moto been running ok?
Yep! I checked the fuel lines, they are BMW branded submersible fuel hose. I also checked for blockage at the hoses, and there was no obstructions/gunk etc. The moto runs perfect, it just simply blows 7.5A fuses within 10 minutes of start up, and has blown a single 10A fuse last weekend. If I run a 15A fuse, (which I did for further testing.
please no scolding 
), it doesn't blow at all. I ran the moto with a fuse tester again and discovered that at cold idle, the draw is 6.0A. When fully warmed up, the draw is consistently 6.5A - 6.7A. Further, blipping the throttle when warmed up, the ampage jumps to a max of 7.3A.
I'm thinking with Laitch on this one, check your pressure at the fuel rail with everything connected. Could possibly be that the FPR is failing and causing excess pressure/load on the pump, or the return line could be restricting return flow.....
I currently don't have the tools to measure the pressure at the fuel rail, but will be borrowing some tomorrow and will report back on what the pressure is at. I believe that the pressure should be somewhere between 35psi - 40psi. Besides a reading between 35-40psi, is there any behavior I should be looking out for?
You could jump the fuel pump to the battery direct with amp meter. If the amp draw is the same than pump is going bad, if it is less than you have a bad wire or connection in the harness. Use the same jump method to isolate ground or hot side.
I'm a complete novice when it comes to hooking things up electrically and whatnot. Could you elaborate how isolating ground or hot side would work, as in the method of doing so? I understood jumping the fuel pump from the battery, that seems pretty straight forward, it's just that one part that I don't comprehend.
Could be a clogged or stuck check valve where the return line goes back into the tank.
I visually checked the return line valve and couldn't observe any obstructions. I blew air into the valve as well, and could feel the air flowing just fine through the valve. Any advice on further ways to test the valve?
Does the temperature warning light work? Is the fan working well? Has it been happening in motion, or say waiting at traffic lights?
I've never had the temp light turn on, but can confirm the fan works fine; it kicks on when it's supposed to. The 7.5A fuse will blow within 5-10 minutes of riding. If I replace the it with another 7.5A fuse, it will blow again. This will occur regardless only when throttle is applied, i.e from a stop, or increasing throttle on the freeway. It won't occur while idling.
The first time that I experienced a fuse blow was when I was traveling back home after purchasing the bike. I rode over 8 hours from St.Louis to Atlanta without a problem. As soon as I crossed over into Florida during midday, the fuel pump fuse blew when I accelerated hard to over take another vehicle, I was doing around 75-80 mph. I observed that the fuse that blew was a 10A, but the fuse cover said 7.5A. I plugged a 7.5A fuse and was back on my way. Given that the fuse had just blown, I decided to reduce my speed to 65MPH, 5 minutes later, the fuse blew while on the travel lane (no hard acceleration). I realized that the PO probably had a similar issue with the 7.5A fuses. I plugged a 10A and managed to make it home to South Florida without another incident. That was until last weekend when I was on my way home from being out, and the fuse blew while at a red light. As soon as I began accelerating from the light, the bike shut off and coasted to a stop. I observed the 10A fuse blew, swapped another 10A fuse in, and have parked the bike since.
The only similarity between the first time the 10A fuse blew, and last weekend, was that they both occurred during really hot days, in excess of 90F degrees.