Re: working on L permit
Answer is likely no. However if an employer is willing to make an application for you and can meet the conditions required then your permit can be changed to allow you to work. The Foreign Nationals Act says this:
"Members of the family of a license holder of short stay (art. 26 OASA) do not have a right to gainful employment. The gainful activity is subject to authorization.
On admission, a request of the employer respecting the pay and conditions of employment customary in the locality and in the branch must have been made. In addition, members of the family of a holder of an authorization for short stay (art. 26OASA) must have professional qualifications (personal qualifications, Art. 23 AuG).
The possibility of gainful employment for family members is related, according to art. OASA 26 and 27, the duration of the authorization of the person granted family reunification. If the residence permit of the spouse is not renewed, the members of his family can not claim a right to pursue their gainful employment (art.6, para. 2, OASA)."
What the last paragraph means is that even if you do have a job if your husband loses his you will have to give up your job too and both of you leave Switzerland. Having a job yourself will not entitle you to live and work here as he is the designated main permit holder. If he loses the right to a permit because of job loss so do you as his dependent.