1. "In any case" - « en tout cas » is red-lined but should be accepted
https://www.larousse.fr/dictionnaires/anglais-francais/case/568797
2. "I will soon be able to get by ..." - « bientôt » is red-lined, but is also correct here. It does not say "quickly/rapidly be able to get by...", - rapidement/vite are currently given as the preferred answers.
3. The previously, extensively discussed "heard that Isabelle IS going to try her luck ..." sentence needs to be changed. It should be, as has previously been noted, 'WAS going to try her luck'. This would then also fit with the lesson which only uses was/were examples to indicate the imparfait to be used here.
The English sentence in its current form is open to several interpretations - it is not French that is the issue here, it is the vagaries of English 'as it is spoke'.
J'allais + [infinitive] to express the near future (Le Futur Proche) in the imperfect in French
For the first 2 options above, the suggestions agree with my wife's spontaneous first responses, and for the third, she immediately used imparfait but put a question mark over the use of 'is going to...' rather than 'was going to ... ' in the English sentence.