Analog Switch IC controlled with logic input
Try using an analog switch or relay that is more apropriate for the application.

The MAX4544 datasheet states that COM must not be higher than V+ +0.3 V.

An analog switch like ISL43210A or similar can handle +15 V supply and the same voltage on the switched lines. And it is controllable by 5V logic without separate logic supply. Vishay, Rohm and many others have similar products.