Are the Maghrib prayer and the prayers preceding it valid, given the intention to deliberately abandon making up the missed Asr prayer, based on the principle of sequencing in making up missed prayers? And does this procrastination or failure to make up invalidate the present prayers?

You have committed a great sin by your negligence in prayer and intentionally delaying it until its time has passed. Making up that prayer is obligatory upon you according to the majority of scholars, and this is the most cautious and the most absolving for your conscience. As for the prayers you performed before making up the missed one, they are valid, as maintaining the sequence is recommended, not obligatory.