Will the money I have spent towards my deductible reset when the new High Deductible Health Plan (HDHP) deductible amount goes into effect?

No. You have 1 full year to meet the deductible before it resets. The year begins on the date you start coverage, and continues to reset every year on that date.

Any money you have spent towards your deductible will count.  But once the new deductible amount goes into effect you will need to meet that increased amount before regular coverage for services begins.