Some tips as for some reason, the video is not loading for me (must be my connection).
In digging, miners prioritize direction over survival. West>East>South>North>SW>SE>NW>NE, cave-ins will happen if you have uneven terrain and you aren't watching. They also happen if you turn a long pillar of dirt into a ramp (miner hits bottom part) instead of channeling it from above.
To avoid criminals, make your dwarves happy. This involves a communal dining hall, it will rise to legendary status if enough chairs/tables are put into it (like a dozen maybe?). A starting dormitory would suffice if you lack bedspace. A walled off perimeter with a single bridge opening outwards will keep any invader out, if the lever is pulled at the right time. Or wall off your fort for a time, begin training soldiers in groups of 2 or 3 for maximum sparring as you design your fortress without invaders hitting on you.
On food and farming (underground is easier), a 4x4 plot would serve well for about 30 dwarves with cooked meals to spare for trade. But you could do multiple plots and give certain dwarves full time farming and food hauling jobs, that would be your trade goods as this might end up in a foodsplosion (production>consumation, this is good.)
Since you have epic embark points, try investing in steel armor sets with weapons to match, set two or three of your beginning seven or the migrants as soldiers and give them full military time, this takes care of any invaders in time if you set up a standing barracks early.
For food orders, z > kitchen will show you a screen for edible food, you can then set what should or should not be made into cooked food/brewed. Raw edible food like plump helmet spawn will be automatically eaten unless it was marked as a forbidden item.
For feeding/giving water, that is low priority to dwarves, if you want someone doing that then give them no labor but the default ones in healthcare. It would take time but they will see it done. That, or put a stockpile of food and drink in their jail which fixes itself (I'm assuming you're using chains for justice)
You must set stockpiles to store food, drink and seeds for easier consumption/storage, plus, it makes the place more "clean" and organized. Food Hauling takes care of moving the said items.
On enemy loot, they need stockpiles to be placed in. The bodies of any dead go in the 'refuse' pile or could be Dumped into a Garbage zone, loot as in armor/weapons go in their respective stockpiles too. You may want to give some dwarves purely hauling labors to make it faster as there must be a lot of things to haul.
Also, you may want to make storage space in one of the z-layers for miscellaneous stuff (like cloth and leather for one), size is up to you.
Forgive me if some or most of what I've put down is off-topic, couldn't see what your fort is in trouble with
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