Quiz on first part of במה מדליקין

What does the following opening question to the mishnayot mean:

בַּמֶּה מַדְלִיקִין וּבַמָּה אֵין מַדְלִיקִין ?

In what way are לֶכֶש and פתילת האידן similar?

Why are all the cases of the invalid wicks and oils - invalid? Why are they problematic to light Shabbos candles with?

וְלֹא בְחֵלֶב. נַחוּם הַמָּדִי אוֹמֵר, מַדְלִיקִין בְּחֵלֶב מְבֻשָּׁל.

One view does not allow lighting with חלב/tallow/fat. The other view (Nachum Hamadi) allows boiled tallow. Why is he lenient? How does boiling it make it more usable?

The mishna doesn't allow lighting with שעוה/wax. Why? What was the problem with wax in their day?

The Mishna does not allow us to light with שמן שריפה. In the next Mishna, it says that we are not allowed to light with שמן שריפה on Yom Tov. What is שמן שריפה and why can't you light with it in our mishna?

What's the problem lighting with עטרן/tar on Shabbat?