Pick one thing, and do it right. There are the following roles:
1) mining (with specialization for different ores)
2) harvesting  (with specialization for different ores)
3) recycling (with an extra extension to increase yield of two materials)
4) refining (with specialization for different ores)
5) prototyping
6) production
7) repair

So if you are keen on mining, pick a pair of refining+mining skills and run with that, and so on.

As for allocating EP, the way I do it is, I would pick the skills that I need for starters and spend them in the most cost efficient manner using the perpetuum planner.

Keep in mind that you will need some support/auxiliary skills, such as Diplomacy, the skills to pilot a bigger bot (the sequer or the mech-miner), navigation, CPU and reactor skills etc.

I would just try and decide what the chars of the starting toon should be first, then spend maybe half of  the free EP and resolve to not spend the other half for the first three days no matter what, and keep constant notes on what I feel is lacking. After three days, you will glad you kept 10K EP unspent

Good luck.

I agree with that 100%. Your going to be tempted to try to go multiple routes, and thats especially true with the manufacturing end. Don't. Specialize.

In my opinion there is no way at this point in the EP game, where you could prototype/RE/produce all on the same character as well as someone who say, went for just production.

Which has all kinds of pro's and con's itself.

If you have a second account with a combat character you rarely play or don't plan to play, wait till they do the respec that has been mentioned previously and make that account do your industry tree, and focus your miner on just that, mining.

CTs can be traded in station, using a corp hangar, between corpmates.

You cannot get maxed out in everything, so focus on the skills that provide the best benefit for EP spent.

For a solid example, let's say you want to create a toon who mines (and then refines/sells the ore). I would place some importance on NOT specializing into a specific ore at the get-go, who knows, it could well be worthless in a day/week/month!

So, you are a miner, and you want to figure out where to spend that EP!
Spend it on Extensive mining, focus on getting that to 7 or 7+ to start.
Keep some EP in your pocket to spend on fitting skills (to increase CPU/Accumulator/Reactor as needed), and some for Roboting skills for the mining bots of choice. A Mech miner (termis) is a huge EP investment, so always keep that in mind. Getting in a Mech sooner will increase your mining output per hour faster than the last three levels on Extensive Mining, for sure, but to get a Termis, you need NIC, and for that you need to mine. So just don't be in a hurry to spend that EP.

Also - no one else can mine for you instantly - however, someone else can REFINE for you instantly, especially if you pay them for their services, or if you are in the same corp. You can also see the ore you mine for a decent profit.

Ultimately you'd want to be self-sufficient, but that is way down the road, like 6+ months from now, for now, try to figure out what will enable you to be self-sufficient with respect to NIC generation, AND helpful in the big-picture of the corp you join.

Just to make this sorta more useful, here are the skills that are not related to industry that are useful to have. These are things that I felt I could have used more of:

Data Processing- more CPU
Long range targeting - what it says
Targeting
Reactor Expansion
Accumulator Expansion
Energy Management
Basic Parallel Assigment
Diplomacy
Basic marketing
Basic purchasing

You don't need to start with more than 2-3 in the above skills, use your own judgement and see what you need. Don't spend that EP unless you are hurting without a skill, or stuck.