I fueled my car while it was running and then drove 60-65 miles. I shut the car off for approx. 3 hours at which time i started the car and began getting system message to check BSM, check AWD, and check ABS.

What is your question?

This occurs every time I start the car and remains on with the yellow triangle displayed as well. The BSM message goes away when I turn BSM off but returns when I turn it back on. I have tried to remove the fuel cap while the vehicle is off, while on, and even refueled the vehicle again. I also tried removing positive terminal from battery to see if it would reset anything and then reset the Maintenance Warning message all to no avail.

What makes this problem better or worse?

nothing

How long has your 2013 Lexus RX350 had this problem?

4 days