Barcelona in UCL does not have a significant burden because it could be said that group H does not contain strong teams. They can easily qualify from the group phase, but in the future I think Barcelona will have difficulty making progress because Barcelona has many injured players and several players need to restore their rhythm, Barcelona cannot perform much better even in a difficult situation for the squad.
Everyone will see how Barcelona performs in the last 16 of the Champions League because there is a big possibility that Barcelona will qualify for that round. This can be seen from the three matches that Barcelona won in the group stage so that Barcelona does not have any pressure to qualify for the next round of the Champions League.
In La Liga, maybe it depends on Real Madrid's consistency. If Real Madrid cannot maintain its consistency then Barcelona has the opportunity to compete for the league championship. We know that in La Liga these two teams will definitely be chasing each other to get points, it's true that La Liga is still long but the habit looks like it will continue.
I don't doubt Real Madrid's consistency in continuing to win in La Liga this season and this has been quite visible so far, including when Real Madrid slaughtered Barcelona at the Estadio Olimpico Lluis Companys. This is part of the proof of Real Madrid's consistency this season so that Real Madrid can still sit at the top of the standings even though there is a possibility for Atletico Madrid to take it in the near future because Atletico Madrid will face quite easy opponents this week. Meanwhile, Barcelona has dropped to the top four in the standings.