At A-level/HL, I think what you have is basically sufficient - this is what I learnt about transcription for AS:
1. DNA double helix unwinds and H bonds break by RNA polymerase.
2. RNA polymerase attaches to a promoter region and begins transcription by attaching complementary bases of RNA nucleotides forming pre-mRNA.
3. mRNA is spliced as its introns are cut out, making a 'mature' mRNA.
4. mRNA leaves the nuclear pores.
And translation:
1. mRNA attaches to the ribosomes (made from rRNA and protein, has two subunits), either free in the cytoplasm or on the rough ER.
2. tRNA molecules (clover-shaped RNA that forms H-bonds in complementary areas and fold back in on itself; has an area with 'anticodon' 3-nucleotide bases; covalently bonds to specific amino acids) ferry amino acids around the cytoplasm.
3. As the mRNA binds to the ribosome, its first three nucleotides is read as a group (a codon). The tRNA with the complementary three nucleotide (the complementary anticodon) then comes along and H bond with the codon. This carries on down the mRNA, so that successive tRNA molecules bind to the mRNA.
4. The amino acids that had been carried to the ribosome by the tRNA are now side-by-side, so they then form peptide bonds to form a polypeptide chain.
You need diagrams for this!
Probably a gross oversimplification, but that is what is broadly required at this level I think.