Jeid,
Ok, you have not use any amp together with the DI-box, so it is not any ground loop problem, but change to the isolatded jacks, they are better.
No, you shall not ground the tip of the input jack, this is +/hi as normal, but the other solder tag that is the "brake switch" shall go to ground solder tag on the jack.
But you hear the buzz noise even when the guitar are jacked, so the problem is not the shorted input jack, but do this anyway, so everything conform with my schematic.
I will try to explain,
In the top end on the jack you have two solder tags, one is the tongue that will lift when you put in the tele-plug, and this is the normal +/hi tip connection. the other lug is the brake switch solder tag, and shall go to ground, the rear "tongue solder tag", the ground connection to the card.
If you use the new plastic jacks, don´t forget to ground the metal box to the pc-card "chassis" connection point.
Use a solder tag on one of the mounting screws for the XLR connector, for safe box connection. (or a separate screw, solder tag and nut)
Try also to change the input transistor BC550C to a, because even a new transistor can have a fault like noise or other thing.
If not this will help, try the other transistor BC560C, or the two zenerdiods on the input.
--Bo