Was the smoke thick and white or gray? If so, yes, too much smoke.
I use oak splits a lot, but I build a teepee with them, start them burning, then start my charcoal chimney, then wait. I pour the charcoal over the oak after it gets going, then wait. Once the smoke starts to clear up I shut everything and start adjusting to get my temp. If the smoke starts to thicken I have to open the firebox lid and let it burn some more.
Using logs, of any type, requires a good bed of coals to ignite the wood and not have it smolder when you put it in. It can be tricky trying to manage temps and getting the smoke right. I feel like I'm rambling now, but you want a thin blue smoke, it should look like the air coming off a hot car in the summer, just distorts your vision, but you can see through it. If it's thick, white or gray, you need more air to get more coals which burn more than smolder.
I hope something there made sense lol!