Avraham was commanded to circumcise himself and all males in his household. From then on, all healthy Jewish males were to be circumcised when they reached 8 days old.
If there is any question about the baby's health, the circumcision is delayed or, in rare cases, not done at all.
The primary obligation to do the circumcision is on the boy's father. Since most people are not skilled surgeons, the actual cutting is usually done by a highly trained expert, called a mohel, who is appointed by the father. A festive meal is eaten after the circumcision.  A minyan is preferred, but not required, for a brit mila.
 

Say the morning amida by the first third of the day (by the 4^th hour), but you may still say it until halachic midday, b'di'avad, except if you delay intentionally.
Situation
You are running out of time to say the morning amida. You have said the shema without saying yishtabach or anything following yishtabach (except for the shema).

What To Do

Just say the amida.

There are four mitzvot for Purim:
1. Shalach Manot (Gifts of food to promote friendship)
Send to one person at least two readily edible foods that will be appreciated by the recipient. Sending gifts of food (mishlo'ach manot) must be done on Purim day. The earliest time to send mishlo'ach manot is after hearing the morning megila reading (so that the commandment of giving gifts to friends is also covered by the blessing of she'hecheyanu over the megila).

2. Gifts to Poor People
Give some money to at least two poor people or to a fund designated to give to poor Jews on Purim. The earliest time in the day to give gifts to the poor on Purim is daybreak.

3. Hearing the Megila Twice (evening and morning)

• If you miss hearing a word or even syllable of the megila on Purim, say it to yourself and then catch up to the reader.
• If you are not near a minyan and do not have a megila scroll, you should read the megila from a book.  But you will not have fulfilled the commandment of reading the megila and so you do not say any of the blessings.

4. Eating at a Purim se'uda.

• The minimum amount to eat and drink for a Purim meal is at least 1.3 fl. oz. (39 ml, or 1/6 cup) of bread, any amount of meat (if you enjoy meat), and some wine (any amount more than you normally drink).
• The earliest time you may eat the Purim meal is from daybreak; the latest time you must begin is before sunset.  You must eat at least 1.3 fl. oz. (39 ml, or 1/6 cup) of bread and some wine (and meat if you enjoy it) before sunset. You may continue your meal after sunset as long as you ate the bread before sunset.

 

Tachanun is related to judgment. Tachanun is NOT said at times of din/judgment:

• At night,
• On Tish'a B'Av,
• In a house of mourning, and
• Yom Kippur.

Tachanun is also NOT said at times of simcha/happiness:

• Shabbat,
• Jewish festivals,
• Rosh Hashana, and
• Rosh Chodesh.

• Isru chag (the day after each of the Jewish festivals),
• Entire month of Nisan.

• All of Chanuka, Purim, Shushan Purim, Tu B'Shvat, Rosh Chodesh, and from Rosh Chodesh Sivan until the day after Shavuot.
• Tishrei from shacharit before Yom Kippur until after Simchat Torah (Shmini Atzeret in Eretz Yisrael). Resume saying tachanun:
  • Second day of Cheshvan, or
  • Day after isru chag of Simchat Torah (this is the more prevalent custom among Ashkenazim). Each person should follow his or her family or community custom.

• Mohel,
• Sandak, or
• Father of a boy having his circumcision.