Needle will not move; the bobbin shaft is in the

Sounds as though the top thread is not being captured by the rotary hook. Check for a bent needle and clean bobbin, hook, and feed dog area.

Hi, Quite often with Brother machines there is no left/center/right needle position control but rather when the machine is set to sew straight the Stitch Width control will determine the needle positon.
While sewing straight try changing the Width(zig zag) control.
It is possible that it will only move from center to right.
Bob

Here's a manual for your machine:
Brother XL 3010 Operation Manual

It appears that your machine does not have the ability for the user to change the needle position. Instead, it seems that the selection of the specific stitch pattern determines where the needle is positioned, ie #1 appears to set the needle in the left position but other stitch and width selection will move the needle position.

Make sure you have not disengaged the needle bar, such as when winding a bobbin. The manual says that when a bobbin is set for winding and the bobbin winder shaft is moved to the right, the needlebar is disengaged. If that appears to be okay on your machine, perhaps something in that mechanism is broken or misaligned preventing the needlebar from operating.

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http://www.manualslib.com/manual/219390/Brother-Xl-2600.html?page=19#manual

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try these suggestions
Try these suggestions
1. Change the needle--use a needle that's for the fabric being sewed
2. Rethread the machine--top --make sure to use every thread guide
3. try a different bobbin--make sure bobbin is inserted correctly into the bobbin case, & make sure the bobbin is turned the correct way in the bobbin case
4. make sure the thread has not come off the thread take up lever
5. Clean under the needle plate & in the bobbin area for lint or threads

Have you pulled apart the bobbin race area and checked for any bits of broken needle?

Is the clutch disengaged on the flywheel?

Otherwise, was the loud cracking noice coming from inside the machine case in which case it could be a gear internally that went and the needle breaking was just the result of this, in which case, time for a road trip to the service tech.

Removable parts are the race and bobbin case.

Raise the needle to it's at the highest position and set the race hook into the shuttle so the hook is at the lower left.

Re-place the hook race cover and move the levers or pegs to hold the cover in place.

Return the bobbin winding shaft on the top right of the machine to the Left Position. It may be stuck in the middle.
I had this same problem. After an hour or two of fiddling, this fixed my problem.

Is your bobbin case holding in place right? See if you can jiggle it back and forth to see if it moves. If it does move, it may have unattached itself in it's inner-casing.

My bobbin case would just go back and forth in the casing. Make sure that your needle plate is inserted right, as it locks the bobbin case in. You may have to unscrew the needle plate, take out the bobbin case, place it back in - pushing it to your left as you glide the needle plate back into place. (go from front to back while inserting). It should catch your bobbin case and lock it into place. Hope this helps. If not I would suggest you take it in for repair. Good luck.