I can't play recordable dvds on my lenovo laptop?

I will offer two possibilities.
When you record a DVD, it is technically required to close the disk from future recording if it is not a DVDRW with formatting for use by WIndows Explorer. It is quite possible, the error is in your burn options. I usually use freeware CDBurnerXP and it does a great job, and I close the disk from future completion and additions.
https://cdburnerxp.se/en/home
I do not know the burn method and options you used. DVD playing software "likes" closed disks more.
The option is generally called "Finalize Disk"

Another point is that Windows 8 does not come with a media player. I added VLC player. Your PC may have come with a media player in addition to Windows 8.
Here is a freeware site:
http://www.nonags.com/nonags/media-players.html

As to the automatic, that is an option.
You need an OPEN WITH association and the option to automatically start if that is what you want.
It is usually a check box.
I forget exactly where that is done, because I don't like the system to auto-play and prefer to start it myself.
DVDRWs will generally open with Windows Explorer and you would have to open the movie from within that. Most people use DVD+R or DVD-R (similar with +R typically a little better) and burn once and finalize because the price of them dropped so much.
Check whether you record with finalizing, and what the file type is you are trying to play and your software for burning and playing. It is a lot to check, but something in the set is not correct.

Where were these optical discs recorded. Possibly a camcorder? Supply the make and model of device
What type of disc are they
Need to know if possible what file format the files are but the make and model should supply that

Initially see if the DVD will open on another computer. Sometimes DVDs deteriorate and become unreadable. Sometimes the DVD drive wears and struggles to read the tracks.
HTH
David

Install a player in which all type of video format can play… Like kmp player…