Welcome to mounted charging! One thing you are missing is that small characters still have 10' reach with reach weapons. Therefore in order to get pounce and your lance attack your eidolon would have to have reach on all of its attacks, or you would need to get tiny enough to only have 5' reach with your lance.
Yes, all primary attacks are made at maximum to-hit and 1X STR to damage. The issue is actually hitting, as quadrupeds start with low-ish to-hit and you apparently have no STR bonus.
If you'd like to go over your character in more detail like we did with your alchemist feel free to email me. I'm not as good with summoners as alchemists but I can still probably offer some useful tips.
Bobby
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