My guesses:1.B.forecast - I agree
2.No error - ....explained to her (her is an accusative pronoun here and it is preceded by a preposition to link the action (explaining) with the accusative (her)
3.A.nature - I agree
4.No error - ...sign a contract B.that C.would give us (would (a modal) is followed by the infinitive form of a word e.g. would sit, would talk, would eat; here 'would' is used as the past equivalent of will to indicate probability; and if you use 'will' it is also followed by the inifinitive.
5.A.even though - or although
6.B.going on - no 'goes on' is correct; only error is that it should say maps of the brain
7.C.will have concluded - After completing - the rest is correct as far as I am aware
8.C.are becoming ot become(I'm not sure) - yes, change the 'is' to 'are' because it is referring to 'views' (plural); as for the first part of the sentence 'In A.a society becoming actualy aware of its B.impact on the environment', I really don't understand the meaning to help you, sorry.
9.No error - I agree
10.No error - that too tight a budget - not sure of the rule though
11.No error - I agree
I hope I've been of some help
Student or Learner