People often object from the Ramayana with the gold deer episode and here from there, shloka, without any investigation, insists that Shri Ram was a non-vegetarian and a hunter. Tries to understand all things on the basis of facts.

Let us first start with the deer episode.
Proof 1:- Very basic of Ramayna, Thats proves there is no meat diet here in Ramayana :-

In the Ramayana written by Maharishi Valmiki ji, when sage Vishwamitra comes to the ashram of sage Vashishtha,

the sage Vashistha did not entertain sage Vishwamitra from meat, but all made from sugarcane, rice, kheer, lentils, curd etc. There is no mention of any kind of meat etc.

Proof 2:- Rama, Sita and Lakshmana etc. already knew that in this forest, the form of the elusive demon deer do violence.

"इदं दुर्गमं ही कान्तारं मृग राक्षससेवितम्"

Means

This inaccessible forest deer is full of demons.

Proof 3:- Actual seen was like this:-

Mother Sita asks Shri Ramchandra to catch the golden deer in this way-

If you catch it alive, this wonder substance will surprise you by staying in the ashram

Where has it been asked to kill?

Then Laksham ji said:-

शंका:मानस्तू तं द्रष्टवा लक्ष्मणो राममब्रवीत।।
तमेवैनमहं मन्ये मारीच्ं राक्षसं मृगम्ं।।

Means

There is no doubt in this that this is the elusive Marich.

Then Ram says:-

अहमेनं वधिश्यामि ग्राहीश्याम्यथ्वा मृगम्ं ।।

Means

If this is Marich then I will surely kill this and if this is deer then I will bring it alive.

विनदन भैरव्ं नाद्ं धारण्यमल्प जीवित:।।
म्रियमास्तू मारीचौ जहौ तां कृत्रिमो तनुम्ं।।

And when after inspection, it became clear that this is not deer this is मारीच. So Rama killed by Vana, and as soon as Vana started, Maricha removed her artificial skin.

---------------------Case 2-------------------------
The second episode is that a verse is tried to prove that Rama was a non-vegetarian and that the verse is: -

चतुर्दश हि वर्षाणि वत्स्यामि विजने वने।
मधु मूल फलैः जीवन् हित्वा मुनिवद् आमिषम्।।

Means

When Shri Ram Ji was preparing to go to the forest, then Shri Ram Ji from Mata Kaushalya, where I will stay in the forest for 14 years and will never eat forbidden meat and only the tubers prescribed for the sages who are migrating in the forest. Will live on the original

गुहा निधी निहितौ ब्राह्मणस्य

Means

Dhulok and Prithivilok are the two treasures of that intellect.
The solution to all the problems of human beings is dependent on their proper use.

Simple logic

Whenever a child abandons his or her home for education or other purposes, he / she naturally promises his / her parents to stay away from many addictions. So does this mean that he/she was already in addictions.

Proof 2:-According to Sundar Kand, when Hanuman meets Goddess Sita in Ashoka Vatika, then she explains the happiness of Rama. They describe how they are living, how they are living their lives, what their day-time is.

न मांसं राघवो भुङ्क्ते न चापि मधुसेवते।
वन्यं सुविहितं नित्यं भक्तमश्नाति पञ्चमम्।।

Means

Rama never consumed meat nor did he drink alcohol. O Goddess, they receive the tubers collected for them every day only at dusk.

-------------------Case 3-------------------
Did buddhism and jainism promote vegetarianism in Sanatan culture?

People often say that vegetarianism was promoted in Sanatan culture because of buddhism and jainism.

It is not that Sanatan culture is based on vegetarianism. There is evidence from Vedas to Mahabharata.

Proof 1:-

O teeth you eat rice, eat barley, urad and eat sesame seeds. For you this is part of delightful food. Never violence against any male and female. - Atharvaveda

Proof 2:-

Whom you kill with consent and those who cut limbs apart. Those who kill and buy, sell, cook, serve and eat all these 4 are deadly.

Nobody is going to sin more than those who wish to increase their flesh from the flesh of others, disrespecting the flesh eating of fathers, deities and scholars in the form of prohibition. - Manu Smriti

Proof 3:-

Alcohol, meat etc. are the food of the Yakshas, demons and vampires.

Manu Smriti

-----------------Case 4-------------------
Did people hunt in Sanatan culture? Does hunting prove that it was meant for the dieting?

Yes, in Sanatan culture, kings used to hunt but not for the purpose of eating, but it was an entertainment and a means of weighing their power.

Proof:-

मृगों न भीम: कुचरों गरिष्ठ:

Because in the Vedas deer are also called lions. And it is also called Mrigendra and hunt is called Mrigaya. Can anyone prove that someone ate the flesh of a lion. Only the practice of predatory creatures was prevalent.

People who consider the companion of the divine being equal to their soul, that is, like others who want their own interest, they also fast in others. -Yuzurved

Message:-

वाचस्पतिर्मखस्यते विश्वस्येशान ओजसा।
– अथर्ववेद

The one who provides the ownership of the entire world, if any, is knowledge. And people analyze things only on the basis of their wisdom.