It sure is a roguelike fire emblem.
I can see what you're going for and the build was perfectly functional, but it could use polish.
There's a bunch of spelling mistakes and the UI could use improvements like showing character HPs on the sprite.
This is personal preference, but mouse commands would be a nice addition too.
Is there a way to check the terrain a unit is standing on? It's important information.
I'm not too convinced about the roguelike aspect, especially having to do all inventory management, shopping and unit-recruiting while in battle.
Green units could join you automatically if they survive and there could be a menu to trade, sell and buy items between missions.
The battles themselves aren't the best, the enemy AI is decent but it does some weird things: I saw archers moving into melee range to attack one of my units, and sometimes enemy units seem to wander around randomly, on the fourth map I had two archers and I only had to pass the turn waiting for the enemy units to wander into arrow range.
Other than that it was a fine demo, it's always good to see tactics game, but I must say it doesn't really stand out from FE at the moment so it feels a little bland.