The weapon cards are not worth points. I've not looked your info over but it's still works for me and it's all about getting out there and doing it. Like all of it.
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I thought I've gotten points before from getting a new exotic but that was probably just mistaken for something else. Still, I know it's not working right, there is no way I haven't gotten any grimoire score in months when I've been actively playing and unlocking challenges.
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What you should do is head over to the left tab and pull up Grimoire, go into each card and flip them, they should provide along the bottom a set of bars (ex. On my Warlock class card, tap the card or scroll down on the Companion app and it will provide you Kills as a Warlock 0/20000 Crucible kills and Warlocks killed in Crucible) completing each tier gives +5 and so by running multiple characters and completing kills with certain weapons and as certain characters you'll earn more grimoire. Sorry for the long reply