I'm so sorry you have to go through that. Re-contracting should be a simple thing. However, when the demand for the device is high, Globe can fail to meet the expectations.
I highly suggest you call the Globe Rewards team (211 and select the option for Rewards) or 7301300. They are the team responsible for re-contracting. They are better at doing re-contracting than Outbound callers who may or may not be real Globe representatives. If a unit is available, they will be able to re-contract it without asking you for a form provided that your new plan is within limits of your old plan (as long as it's not an upgrade). They will schedule a delivery date to your service address or you can request a pick-up to the Globe store nearest you. If a unit is not available and you really want that device, you better call back. These Rewards representatives cannot call you back and you wouldn't want them to arrange a callback from the "support team" as this support them is almost close to imaginary.
Globe's services can be fascinating at its best, but hellish at its worst. Nonetheless, I've been loyal to them and had re-contracted with them over 4 times, and have 4 active lines. =).