Could you please suggest me some Quranic ayat to remove worry and distress?

The Qur'aan is not like a pharmacy. Whenever you have a problem you ask for an aayah like you ask for medicine at the pharmacy. That is not how the Qur'aan works. Ignorant people and quacks use it like that, tricking people and taking the wealth through falsehood. The Prophet (ﷺ) taught us du'aas for these matters. One of these du’aas the Messenger of Allah (ﷺ) taught us and advised us to make is the following:

اللَّهُمَّ إِنِّي أَعُوذُ بِكَ مِنَ الْهَمِّ وَالْحَزَنِ، وَالْعَجْزِ وَالْكَسَلِ، وَالْبُخْلِ وَالْجُبْنِ ، وَضَلَعِ الدَّيْنِ، وَغَلَبَةِ الرِّجَالِ

“O Allah, I take refuge in You from anxiety and sorrow, weakness and laziness, miserliness and cowardice, the burden of debts and from being overpowered by men.” [1]

Please get the text "Hisnul Muslim" (Fortress of a Muslim). Its hadeeths are all authentic. Take your guidance from the words of the Messenger (ﷺ).

Reference:

[1] Bukhari, the chapter on Du’aas, Hadeeth no. 6363.