No. NATO did not intervene in Yugoslavia independence wars. Only in Kosovo war in 1999 (that's where you see the Serbian complaints about NATO).
Regarding similarities. Both conflicts were completely asymmetric. In prelude to the war JNA (yugoslav army) moved almost all weapons and arms to the Serbia, basically leaving Croatia, Slovenia and Bosnia almost defenseless. They instigated local population to revolt supported by paramilitaries (similar to LNR and DNR)
https://en.wikipedia.org/wiki/Republic_of_Serbian_Krajina.
To "stop the conflict" international community proclaimed embargo on all weapon sales. Basically Serbians had all the weapons and independence faction couldn't get any legally (that's why there are weapon smugglers though). At the time JNA had a reputation for being a powerful force even though dated. Another similarity with Russians. Basically, the mighty
Yugoslav army was stopped by small arms infantry. I think it's a great example how determined defenders fueled by animosity can stop more powerful enemy.
Another similarity is propaganda. Much like Putin, Milosevic (Yugoslav/Serbian president) used propaganda of saving the Serbians (from Croats).
Here's where the similarities stop. Unlike Serbians and Croatians/Bosnians where animosity was mutual. Russians love Ukrainians. What I'm saying is Serbians were highly motivated to fight. Then there was of course a lot of motivated fighters that fought for preservation of Tito's Yugoslavia rather than Great Serbia. Russians don't know what they are doing in Ukraine and only part of their army that know what it's doing is artillery. Although to be frank, artillery is their main strength.
Basically, Yugoslavian army had motivated fighters, significantly bigger advantage in weapons and their enemies were not propped/supported up by west. Although, before the end of the war USA did support Croatian and Bosnian forces in an advisory role.
Oh, another similarity, much like Azov battalion for Ukraine, Croatia also had
paramilitary forces with Neo-nazi symbolism, which was later absorbed into regular army.